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Show that If a rod is held at an angle θ to the horizontal and released, its lower end will not slip if friction b/w rod and ground is greater than (3sinθcosθ)/(1+3sin2θ). (...DC Pandey) ...
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Firstly this not a lengthy question can be solved in 2-3 steps. Two towers of Height H and 2H separated by √3H what is the min velocity required to throw the ball from side of short tower so that it just touches small tower ...
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Q1. A fixed Pt. P(5,2) is given and two points A and B on x=y and y=0, Find: i) coordinates of A for |PA+PB+PC|min ii) coordinates of B for |PA+PB+PC|min iii) value of |PA+PB+PC|min ...
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A tube of insufficient length is immersed in water (ST=0.07 N/m) with 1 cm of it projecting vertically upards outside water.What is the radius of meniscus???Radius of tube = 1mm ...
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this is an extension of a traditional problem.... here is the setup with some initial compression in the spring such that when string is burned lower block just leaves the ground. (a string is tied b/w two blocks) Here u have ...
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lim x->infinity[(x+p)(x+q)(x+r)(x+s)]1/4 - x ...
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For a first order reaction 2A→Products what is [A] as a function of time? Does that coefficient 2 makes a difference? ...
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please dont get afraid by the size of the question beleive me it is easy (give it a thought cmon)!! *Image* ABOVE THE background neede to solve this one is given the two questions are given below *Image* i will tell the sourc ...
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I don't if it is in syllabus... But sir taught it... F(a)=a∫bf(x,a) F'(a)=a∫bδf(x,a)/δa Try this out in evaluating 0∫1(xa-1)/lnx ...
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A body of superdense material with mass twice the mass of earth butsize very small compared oto the size of earth starts from rest from h<<R above the earth's surface. It reaches earth in time ...
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A has n+1 fair coins and B has n fair coins.If they toss all the coins , what is the probability that A gets more heads than B ? ...
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Two masses m2 and m3 are connected by a spring of spring constant k and are placed on a frictionless horizontal surface. Initially the spring is stretched through a distance x when the system is released from rest. Find the d ...
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While deriving mirror and lens formula, we substitute for obj and img distance with proper sign following the carteian sign convention i.e. we have taken sign convention into consideration while deriving the formulae. But whi ...
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There will be 8 full syllabus test for AIEEE. The dates of test and declaration of result will be as follows You can take the test on any day between these dates S.No. Dates Results Test1- 7th Jan - 16th Jan 17th Jan Test2- 2 ...
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HC VERMA Friction 28 ...
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A diwali cracker known as sudarshan chakra works on the principle of thrust. Consider such a toy the centre of which is hinged.the initial mass of the toy is M0 and the radius is R. The toy is in the shape of a spiral the tur ...
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cyclo hexanol exists in equatorial and axial form in equilibrium with each other. when acetylation of cyclohexanol is carried out and k is overall observed rate constant of acetylation and ke and ka are rate constant of acety ...
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2 equal smooth spheres of radius r move with same speed in opp directions along parallel lines at a distance c apart. (c<2r). PRove that motion of each deviates through right angle if c2-(1+e)=rer2 where e is coeff of ...
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two blocks A and B of mass M and 2M are connected by a string of length 3L. The block B is released from the position shown. When the string is just taut, the velocities of blocks and impulse tension in the string will be ...
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For any real t ,x=2+[(et+e-t)/2], y=2+[(et-e-t)/2] is a point on hyperbola x2-y2-4x+4y-1=0.Find area bounded by hyperbola and the lines joining the centre to the points corresponding to t1 and -t1 (Plz dont solve ...
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A uniform chain of length L and mass M is hanging vertically from its ends A and B which are close together.At a given instant the ened B is released.Find the tension at A when B has fallen a distance x(<l) *Image* ...
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Lemon juice normally has a pH of 2.If all the acid in the lemon juice is citric acid and there are no citrate salts present, then what will be the citric acid concentration [HCit] in the lemon juice?(Assume that only the ...
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btw :p b/w :P lol This is not a new code language created by targetiitans. These are just a few short forms used to save time. So don't get confused we you see these. Meanings for these are given below 1. :) = [1] 2. ...
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COMPREHENTION: if f:R---->R & f(x) is differentiable function such that all its succesive derivatives exists f'(x) can be taken 0at discrete points only & f(x).f''(x)≤ 0 for all x εR ans foll ...
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Arithmetic,geometric and harmonic mean of the roots of the x2+13x+36=0 are α,β,γ respectively. 1)x1 and x2 are the roots of ax2+bx+c=0, a,b,cεR and α,β,γ lies between x1andx2 δ=mod(x1-x2) then set of all v ...
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A bird flies on ellipse ax2+by2=1 and z=5 3 and b>a>0 whose essentricity is 1/ 2 .An observer stands at a point P(α,β,0) where maximum and minimum angl of elevation of the birds are 60.and 30. when bird is at ...
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A solution of leucine is titrated with strong base.pH before=1.85 ,the pH at mid pt. is 2.36 and at stoichiometric point is 6 .Determine Ka of leucine ...
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x If f(x) is continuous function with ∫ f(t)dt →∞ as mod(x)→∞ then 0 show that every line y=mx intersects curve x y2+∫ f(t)dt =2 0 ...
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The number of rightangled triangles with integer sides and inradius 2008 is ...
